Generalized zeta regularizations, quantum class number formulas, and Appell's O-functions

Nobushige Kurokawa; Masato Wakayama

doi:10.1007/s11139-005-4851-0

Generalized zeta regularizations, quantum class number formulas, and Appell's O-functions

Nobushige Kurokawa, Masato Wakayama

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8 Citations (Scopus)

Abstract

We introduce a generalized notion of the zeta regularization. As applications we show the quantum analogue of the Lerch formula and of the Dirichlet class number formulas. We also give some further examples related to Appell's O-functions.

Original language	English
Pages (from-to)	291-303
Number of pages	13
Journal	Ramanujan Journal
Volume	10
Issue number	3
DOIs	https://doi.org/10.1007/s11139-005-4851-0
Publication status	Published - Dec 2005

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/s11139-005-4851-0

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title = "Generalized zeta regularizations, quantum class number formulas, and Appell's O-functions",

abstract = "We introduce a generalized notion of the zeta regularization. As applications we show the quantum analogue of the Lerch formula and of the Dirichlet class number formulas. We also give some further examples related to Appell's O-functions.",

author = "Nobushige Kurokawa and Masato Wakayama",

note = "Funding Information: Work in part supported by Grant-in Aid for Scientific Research (B) No. 11440010, and by Grant-in Aid for Exploratory Research No. 13874004, Japan Society for the Promotion of Science.",

year = "2005",

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doi = "10.1007/s11139-005-4851-0",

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AU - Kurokawa, Nobushige

AU - Wakayama, Masato

N1 - Funding Information: Work in part supported by Grant-in Aid for Scientific Research (B) No. 11440010, and by Grant-in Aid for Exploratory Research No. 13874004, Japan Society for the Promotion of Science.

PY - 2005/12

Y1 - 2005/12

N2 - We introduce a generalized notion of the zeta regularization. As applications we show the quantum analogue of the Lerch formula and of the Dirichlet class number formulas. We also give some further examples related to Appell's O-functions.

AB - We introduce a generalized notion of the zeta regularization. As applications we show the quantum analogue of the Lerch formula and of the Dirichlet class number formulas. We also give some further examples related to Appell's O-functions.

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Generalized zeta regularizations, quantum class number formulas, and Appell's O-functions

Abstract

All Science Journal Classification (ASJC) codes

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